Search a number
-
+
12211020121049 is a prime number
BaseRepresentation
bin1011000110110001100110…
…0001000100001111011001
31121020100202222122221102022
42301230121201010033121
53100031132122333144
641545355403344225
72400134314314221
oct261543141041731
947210688587368
1012211020121049
113988734577062
1214526b1b22075
136a7656b5c939
143030334cb081
15162983aaacee
hexb1b198443d9

12211020121049 has 2 divisors, whose sum is σ = 12211020121050. Its totient is φ = 12211020121048.

The previous prime is 12211020121007. The next prime is 12211020121057. The reversal of 12211020121049 is 94012102011221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7347813169225 + 4863206951824 = 2710685^2 + 2205268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211020121049 is a prime.

It is a super-2 number, since 2×122110201210492 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211020121549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105510060524 + 6105510060525.

It is an arithmetic number, because the mean of its divisors is an integer number (6105510060525).

Almost surely, 212211020121049 is an apocalyptic number.

It is an amenable number.

12211020121049 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211020121049 is an equidigital number, since it uses as much as digits as its factorization.

12211020121049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12211020121049 in words is "twelve trillion, two hundred eleven billion, twenty million, one hundred twenty-one thousand, forty-nine".